The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label. (a) Develop the appropriate null and alternative hypotheses. H0: ? > 1 Ha: ? ≤ 1 H0: ? < 1 Ha: ? ≥ 1 H0: ? ≤ 1 Ha: ? > 1 H0: ? = 1 Ha: ? ≠ 1 H0: ? ≥ 1 Ha: ? < 1 (b) What is the type I error in this situation? What are the consequences of making this error? It is claiming ? < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. It is claiming ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. (c) What is the type II error in this situation? What are the consequences of making this error? It is concluding ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is concluding ? > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification. It is concluding ? < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification. It is concluding ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification
The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label. (a) Develop the appropriate null and alternative hypotheses. H0: ? > 1 Ha: ? ≤ 1 H0: ? < 1 Ha: ? ≥ 1 H0: ? ≤ 1 Ha: ? > 1 H0: ? = 1 Ha: ? ≠ 1 H0: ? ≥ 1 Ha: ? < 1 (b) What is the type I error in this situation? What are the consequences of making this error? It is claiming ? < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. It is claiming ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. (c) What is the type II error in this situation? What are the consequences of making this error? It is concluding ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is concluding ? > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification. It is concluding ? < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification. It is concluding ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 16CR
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The label on a 4-quart container of orange juice states that the orange juice contains an average of 1 gram of fat or less. Answer the following questions for a hypothesis test that could be used to test the claim on the label. (a) Develop the appropriate null and alternative hypotheses. H0: ? > 1 Ha: ? ≤ 1 H0: ? < 1 Ha: ? ≥ 1 H0: ? ≤ 1 Ha: ? > 1 H0: ? = 1 Ha: ? ≠ 1 H0: ? ≥ 1 Ha: ? < 1 (b) What is the type I error in this situation? What are the consequences of making this error? It is claiming ? < 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. It is claiming ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is claiming ? > 1 when it is not. This error would claim that the product is not meeting its label specification when it really is meeting its specification. (c) What is the type II error in this situation? What are the consequences of making this error? It is concluding ? ≥ 1 when it is not. This error would miss the fact that the product is not meeting its label specification. It is concluding ? > 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification. It is concluding ? < 1 when it is not. This error would conclude that the product is not meeting its label specification when it really is meeting its specification. It is concluding ? ≤ 1 when it is not. This error would miss the fact that the product is not meeting its label specification
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